Using a theory of mind to find best responses to memory-one strategies

Author:

Glynatsi Nikoleta E.,Knight Vincent A.

Abstract

AbstractMemory-one strategies are a set of Iterated Prisoner’s Dilemma strategies that have been praised for their mathematical tractability and performance against single opponents. This manuscript investigates best response memory-one strategies with a theory of mind for their opponents. The results add to the literature that has shown that extortionate play is not always optimal by showing that optimal play is often not extortionate. They also provide evidence that memory-one strategies suffer from their limited memory in multi agent interactions and can be out performed by optimised strategies with longer memory. We have developed a theory that has allowed to explore the entire space of memory-one strategies. The framework presented is suitable to study memory-one strategies in the Prisoner’s Dilemma, but also in evolutionary processes such as the Moran process. Furthermore, results on the stability of defection in populations of memory-one strategies are also obtained.

Funder

Projekt DEAL

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Evolution of reciprocity with limited payoff memory;Proceedings of the Royal Society B: Biological Sciences;2024-06

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3. An Analysis of the Generalized Tit-for-Tat Strategy Within the Framework of Memory-One Strategies;Communications in Computer and Information Science;2023-10-30

4. Adaptive dynamics of memory-one strategies in the repeated donation game;PLOS Computational Biology;2023-06-29

5. Mutation enhances cooperation in direct reciprocity;Proceedings of the National Academy of Sciences;2023-05-08

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